Department
Mathematics and Statistics
Research Advisor
Stanojevic, Caslav V., 1928-2008
Advisor's Department
Mathematics and Statistics
Abstract
The invariance properties of the solutions of those functional equations naturally occurring in the construction of Mielnik probability spaces are studied, and in turn are related to one another. In particular, the possibilities for fixed points of these solutions are found, and the relationships between these results are discussed. The two functional equations studied include a representation of the generalized parallelogram law and an equation used in the modeling of polarization phenomena. The main result of the paper lies in the extention of previous research on Mielnik probability spaces to a higher dimension, as well as a discussion of their applicability in characterizing inner product spaces.
Document Type
Report
Presentation Date
16 Apr 1992
Recommended Citation
Mitchell, J. J., "Mielnik Probability Spaces and Functional Equations" (1992). Opportunities for Undergraduate Research Experience Program (OURE). 67.
https://scholarsmine.mst.edu/oure/67
